Abstract
The exp(S) or coupled-cluster (CC) method1–5 has been used widely in recent years for ab initio electronic structure calculations in closed-shell, non-degenerate systems, with highly satisfactory results.6 The CCSD approximation,7 in which single and double excitations are included to all orders, is usually employed; a few calculations including the effect of triple excitations (CCSDT) have appeared recently.8 The theory becomes considerably more complicated when the system of interest cannot be described in terms of a closed-shell structure. A variety of multireference, open-shell (OSCC) formulations, designed to handle such situations, have been described.9–23
Supported in part by the U.S.-Israel Binational Science Foundation.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Hubbard, Proc. Roy. Soc. A240:539 (1957)
J. Hubbard, Proc. Roy. Soc. A243:336 (1958).
F. Coester, Nucl. Phys. 7:421 (1958)
F. Coester and H. Kümmel, Nucl. Phys. 17:477 (1960)
H. Kümmel, K. H. Lührmann and J. G. Zabolitzky, Phys. Rept. 36:1 (1978).
O. Sinanoglu, Adv. Chem. Phys. 6:315 (1964).
J. Cizek, J. Chem. Phys. 45:4256 (1966)
J. Cizek, Adv. Chem. Phys. 14:35 (1969).
J. Paldus, J. Cizek and I. Shavitt, Phys. Rev. A 5:50 (1972)
J. Paldus, J. Cizek and I. Shavitt, J. Paldus, J. Chem. Phys. 67:303 (1977)
B. G. Adams and J. Paldus, Phys. Rev. A 20:1 (1979).
For a review see R. J. Bartlett, Ann. Rev. Phys. Chem. 32:359 (1981).
G.D. Purvis and R. J. Bartlett, J. Chem. Phys. 76:1910 (1982)
J. M. Cullen and M. C. Zerner, J. Chem. Phys. 77:4088 (1982). Both references give the explicit CCSD equations, and the second one also shows the CCSD diagrams.
Y. S. Lee and R. J. Bartlett, J. Chem. Phys. 80:4371 (1984)
Y. S. Lee, S. A. Kucharsky, and R. J. Bartlett, J. Chem. Phys. 81:5906 (1984)
M. Urban, J. Noga, S. J. Cole, and R. J. Bartlett, J. Chem. Phys. 83:4041 (1985)
J. Noga and R. J. Bartlett, J. Chem. Phys. 86:7041 (1987).
F. E. Harris, Intern. J. Quantum Chem. S11:403 (1977).
H.J. Monkhorst, Intern. J. Quantum Chem. S11:421 (1977).
J. Paldus, J. Cizek, M. Saute and A. Laforgue, Phys, Rev. A 17:805 (1978)
M. Saute, J. Paldus and J. Cizek, Intern. J. Quantum Chem. 15:463 (1979).
D. Mukherjee, R. K. Moitra and A. Mukhopadhyay, Pramana 4:247 (1975)
D. Mukherjee, R. K. Moitra and A. Mukhopadhyay, Mol. Phys. 30:1861 (1975)
A. Mukhopadhyay, R. K. Moitra and D. Mukherjee, J. Phys. B 12:1 (1979)
D. Mukherjee and P. K. Mukherjee, Chem. Phys. 39:325 (1979)
S. S. Adnan, S. Bhattacharyya and D. Mukherjee, Mol. Phys. 39:519 (1980)
S. S. Adnan, S. Bhattacharyya and D. Mukherjee, Chem. Phys. Lett. 85:204 (1981).
R. Offerman, W. Ey and H. Kümmel, Nucl. Phys. A273:349 (1976)
R. Offerman, Nucl. Phys. A273:368 (1976)
W. Ey, Nucl. Phys. A296:189 (1978).
I. Lindgren, Intern. J. Quantum Chem. S12:33 (1978)
S. Salomonson, I. Lindgren and A. M. Martensson, Phys. Scr. 21:351 (1980)
I. Lindgren and J. Morrison, “Atomic Many-Body Theory”, Springer, Berlin, (1982).
I. Lindgren, Phys. Scr. 32:291 (1985).
I. Lindgren, Phys. Scr. 32:611 (1985).
H. Nakatsuji, Chem. Phys. Lett. 59:362 (1978)
H. Nakatsuji, Chem. Phys. Lett. 67:329 (1979)
H. Nakatsuji, Chem. Phys. 75:425(1983)
H. Nakatsuji, Chem. Phys. 76:283 (1983)
H. Nakatsuji, J. Chem. Phys. 80:3703 (1984).
H. Reitz and W. Kutzelnigg, Chem. Phys. Lett. 66:111 (1979)
W. Kutzelnigg, J. Chem. Phys. 77:3081 (1981)
W. Kutzelnigg, J. Chem. Phys. 80:822 (1984).
B. Jeziorski and H. J. Monkhorst, Phys. Rev. A 24:1668 (1981)
L. Z. Stolarczyk and H. J. Monkhorst, Phys. Rev. A 32:725 (1985).
L. Z. Stolarczyk and H. J. Monkhorst, Phys. Rev. A 32:743 (1985).
A. Banerjee and J. Simons, Intern. J. Quantum Chem. 19:207 (1981).
V. Kvasnicka, Chem. Phys. Lett. 79:89 (1981).
A. Haque and D. Mukherjee, J. Chem. Phys. 80:5058 (1984)
A. Haque and D. Mukherjee, Pramana 23:651 (1984).
J. Arponen, Ann. Phys. (NY) 151:311 (1983).
K. Tanaka and H. Terashima, Chem. Phys. Lett. 106:558 (1984).
A. Haque and U. Kaldor, Chem. Phys. Lett. 117:347 (1985).
A. Haque and U. Kaldor, Chem. Phys. Lett. 120:261 (1985).
A. Haque and U. Kaldor, Intern. J. Quantum Chem. 29:425 (1986).
U. Kaldor and A. Haque, Chem. Phys. Lett. 128:45 (1986).
U. Kaldor, Intern. J. Quantum Chem. S20:445 (1986).
U. Kaldor, J. Comput. Chem. 8:448 (1987).
U. Kaldor, J. Chem. Phys. 87:467 (1987).
U. Kaldor, J. Chem. Phys. 87:4693 (1987).
G. Hose and U. Kaldor, J. Phys. B 12:3827 (1979).
B. H. Brandow, Rev. Mod. Phys. 39:771 (1967).
G. Hose and U. Kaldor, Phys. Scr. 21:357 (1980)
G. Hose and U. Kaldor, Chem. Phys. 63:165 (1981)
G. Hose and U. Kaldor, J. Phys. Chem. 86:2133 (1982)
G. Hose and U. Kaldor, Phys. Rev. A 30:2932 (1984)
U. Kaldor, J. Chem. Phys. 81:2406 (1984).
T. H. Schucan and H. A. Weidenmuller, Ann. Phys. (NY) 73:108 (1972)
T. H. Schucan and H. A. Weidenmuller, Ann. Phys. (NY) 76:483 (1973).
D. Mukherjee, Chem. Phys. Lett. 125:207 (1986)
D. Mukherjee, Intern. J. Quantum Chem. S20:409 (1986).
D. Sinha, S. Mukhopadhyay, and D. Mukherjee, Chem. Phys. Lett. 129:369 (1986).
S. Koch and D. Mukherjee, preprint (1987).
U. Kaldor, J. Comput. Phys. 20:432 (1976).
S. Huzinaga, J. Chem. Phys. 42:1293 (1965).
T. H. Dunning, J. Chem. Phys. 53:2823 (1970). The d exponents were 0.9 for the 4s2pld set, 0.62 and 2.09 for the 4s3p2d set.
P. Krupenie, J. Phys. Chem. Ref. Data 1:423 (1972).
B. J. Moss and W. A. Goddard III, J. Chem. Phys. 63:3523 (1975).
C. W. Bauschlicher and S. R. Langhoff, J. Chem. Phys. 86:5595 (1987).
R. Krishnan, J. S. Brinkley, R. Seeger, and J. A. Pople, J. Chem. Phys. 72:650 (1980)
M. J. Frisch, J. A. Pople, and J. S. Binkley, J. Chem. Phys. 80:3265 (1984).
S. K. Shih, W. Butscher, R. J. Buenker, and S. D. Peyerimhoff, Chem. Phys. 29:241 (1978).
K.P. Huber and G. Herzberg, “Constants of Diatomic Molecules”, Van Nostrand Reinhold, New York (1979)
J. Oddershede, Adv. Chem. Phys. 69:201 (1987)
A. Lofthus and P. H. Krupenie, J. Phys. Chem. Ref. Data 6:113 (1977).
G. H. Jeung, J. P. Daudey, and J. P. Malrieu, J. Chem. Phys. 77:3571 (1982)
G. H. Jeung, J. P. Daudey, and J. P. Malrieu, Chem. Phys. Lett. 94:300 (1983)
G. H. Jeung, J. P. Daudey, and J. P. Malrieu, J. Phys. B 16:699 (1983)
S. P. Walch, C. W. Bauschlicher, P. E. M. Siegbahn, and H. Partridge, Chem. Phys. Lett. 92:54 (1982)
H. Partridge, D. A. Dixon, S. P. Walch, C. W. Bauschlicher, and J. L. Gole, J. Chem. Phys. 79:1859 (1983)
H. Partridge, C. W. Bauschlicher, S. P. Walch, and B. Liu, J. Chem. Phys. 79:1866 (1983)
W. Müller, J. Flesch, and W. Meyer, J. Chem. Phys. 80:3297 (1984).
H. Primas, in “Modern Quantum Chemistry”, O. Sinanoglu, ed., Academic, New-York (1965), Vol 2.
S. Iwata and K. F. Freed, J. Chem. Phys. 61:1500 (1974)
K. F. Freed, in “Modern Thoretical Chemistry”, G. A. Segal, ed., Plenum, New York (1977)
H. Sung, K. F. Freed, M. F. Herman, and D. L. Yeager, J. Chem. Phys. 72:4158 (1980)
M. G. Sheppard and K. F. Freed, J. Chem. Phys. 75:4525 (1981).
S. Liu, M. F. Daskalakis, and C. E. Dykstra, J. Chem. Phys. 85:5877 (1986). The basis denoted L was used, with five orbitals in each d set.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Plenum Press, New York
About this chapter
Cite this chapter
Kaldor, U., Ben-Shlomo, S. (1988). Direct Calculation of Molecular Transition Energies by the Open-Shell Coupled-Cluster Method. In: Naaman, R., Vager, Z. (eds) The Structure of Small Molecules and Ions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7424-4_21
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7424-4_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7426-8
Online ISBN: 978-1-4684-7424-4
eBook Packages: Springer Book Archive